9838298400 has 432 divisors, whose sum is σ = 37510724160. Its totient is φ = 2233190400.

The previous prime is 9838298399. The next prime is 9838298411. The reversal of 9838298400 is 48928389.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31634245 + ... + 31634555.

It is an arithmetic number, because the mean of its divisors is an integer number (86830380).

Almost surely, 2^9838298400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9838298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755362080).

9838298400 is an abundant number, since it is smaller than the sum of its proper divisors (27672425760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9838298400 is a wasteful number, since it uses less digits than its factorization.

9838298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 9838298400 is about 99188.1968784593. The cubic root of 9838298400 is about 2142.7590116332.

The spelling of 9838298400 in words is "nine billion, eight hundred thirty-eight million, two hundred ninety-eight thousand, four hundred".